A Characterization of Power Method Transformations through L-Moments
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-07
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Power method polynomial transformations are commonly used for simulating continuous nonnormal distributions with specified moments.
However, conventional moment-based estimators can (a) be substantially biased, (b) have high variance, or (c) be influenced by outliers.
In view of these concerns, a characterization of power method transformations by L-moments is introduced.
Specifically, systems of equations are derived for determining coefficients for specified L-moment ratios, which are associated with standard normal and standard logistic-based polynomials of order five and three.
Boundaries for L-moment ratios are also derived, and closed-formed formulae are provided for determining if a power method distribution has a valid probability density function.
It is demonstrated that L-moment estimators are nearly unbiased and have relatively small variance in the context of the power method.
Examples of fitting power method distributions to theoretical and empirical distributions based on the method of L-moments are also provided.
American Psychological Association (APA)
Headrick, Todd C.. 2011. A Characterization of Power Method Transformations through L-Moments. Journal of Probability and Statistics،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-476400
Modern Language Association (MLA)
Headrick, Todd C.. A Characterization of Power Method Transformations through L-Moments. Journal of Probability and Statistics No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-476400
American Medical Association (AMA)
Headrick, Todd C.. A Characterization of Power Method Transformations through L-Moments. Journal of Probability and Statistics. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-476400
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476400